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  • Please Solve R.D.Sharma class 12 Chapter 23 Scaler or Dot Products Exercise 23.1 Question 3 Maths Textbook Solution.

Please Solve R.D.Sharma class 12 Chapter 23 Scaler or Dot Products  Exercise 23.1 Question 3 Maths Textbook Solution.

Answers (1)

Answer: \frac{\pi }{3}

Hints: you must know properly of finding angle from vectors.

Given: \mid \vec{a}\mid =4,\mid \vec{b}\mid =3, and \vec{a}\: .\: \vec{b} =6

Solution:  \mid \vec{a}\mid =4,\mid \vec{b}\mid =3,        \vec{a}\: .\: \vec{b} =6

Now, we know \vec{a}.\vec{b}=\mid \vec{a}\mid \mid \vec{b}\mid \cos \theta

\begin{aligned} &6=(4)(3)(\cos \theta) \\ &6=(12)(\cos \theta) \\ &\frac{1}{2}=\cos \theta \\ &\theta=\cos ^{-1}\left(\frac{1}{2}\right) \\ &=\frac{\pi}{3} \end{aligned}

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